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Finding the Fourth Proportional to 29,703.16, 44,551.02 and 9,710.98

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Solution

The fourth proportional to 29,703.16, 44,551.02 and 9,710.98 is: 14,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,703.16 : 44,551.02 = 9,710.98 : x
  2. Step 2: Convert to fraction form
    29,703.16/44,551.02 = 9,710.98/x
  3. Step 3: Cross multiply
    29,703.16x = 44,551.02 × 9,710.98
  4. Step 4: Simplify right side
    29,703.16x = 432,634,064.20
  5. Step 5: Solve for x
    x = 432,634,064.20/29,703.16
  6. Step 6: Final answer
    x = 14,565.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.